1344395556 has 189 divisors, whose sum is σ = 4146069249. Its totient is φ = 380153088.

The previous prime is 1344395551. The next prime is 1344395593. The reversal of 1344395556 is 6555934431.

The square root of 1344395556 is 36666.

It is a perfect power (a square), and thus also a powerful number.

1344395556 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 3 + 95 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 603684900 + 740710656 = 24570^2 + 27216^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not an unprimeable number, because it can be changed into a prime (1344395551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 13859700 + ... + 13859796.

Almost surely, 2^1344395556 is an apocalyptic number.

1344395556 is the 36666-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344395556

1344395556 is an abundant number, since it is smaller than the sum of its proper divisors (2801673693).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1344395556 is an frugal number, since it uses more digits than its factorization.

1344395556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 109 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The cubic root of 1344395556 is about 1103.6779247158.

It can be divided in two parts, 1344 and 395556, that added together give a square (396900 = 630²).

The spelling of 1344395556 in words is "one billion, three hundred forty-four million, three hundred ninety-five thousand, five hundred fifty-six".